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Submission #767475

# Submission time Handle Problem Language Result Execution time Memory
767475 2023-06-26T19:31:50 Z t6twotwo Digital Circuit (IOI22_circuit) C++17
34 / 100
 833 ms 13736 KB 
#include "circuit.h"
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
constexpr int mod = 1000002022;
int add(int x, int y) {
    int z = x + y;
    if (z >= mod) {
        z -= mod;
    }
    return z;
}
int sub(int x, int y) {
    int z = x - y;
    if (z < 0) {
        z += mod;
    }
    return z;
}
int mul(int x, int y) {
    return (ll)x * y % mod;
}
int N, M, K;
vector<int> P, A, tot, lazy, S, T;
void apply(int p, int v) {
    if (v) {
        S[p] = sub(T[p], S[p]);
        lazy[p] ^= 1;
    }
}
void push(int p) {
    apply(p * 2 + 1, lazy[p]);
    apply(p * 2 + 2, lazy[p]);
    lazy[p] = 0;
}
void pull(int p) {
    S[p] = add(S[p * 2 + 1], S[p * 2 + 2]);
}
void update(int p, int l, int r, int L, int R) {
    if (R <= l || r <= L) {
        return;
    }
    if (L <= l && r <= R) {
        apply(p, 1);
        return;
    }
    int m = (l + r + 1) / 2;
    push(p);
    update(p * 2 + 1, l, m, L, R);
    update(p * 2 + 2, m, r, L, R);
    pull(p);
}
void init(int n, int m, vector<int> p, vector<int> a) {
    N = n, M = m;
    P = p, A = a;
    vector<vector<int>> ch(N);
    for (int i = 1; i < N + M; i++) {
        ch[P[i]].push_back(i);
    }
    bool bintree = 1;
    for (int i = 0; i < N; i++) {
        if (ch[i].size() != 2) {
            bintree = 0;
        }
    }
    if (bintree) {
        tot.resize(N + M);
        for (int i = N; i < N + M; i++) {
            tot[i] = 1;
        }
        for (int i = N - 1; i >= 0; i--) {
            tot[i] = mul(2, mul(tot[ch[i][0]], tot[ch[i][1]]));
        }
        vector<int> f(N + M);
        f[0] = 1;
        for (int i = 1; i < N + M; i++) {
            int p = (i - 1) / 2;
            f[i] = mul(f[p], tot[ch[p][0] ^ ch[p][1] ^ i]);
        }
        K = 2 << __lg(M);
        S.resize(2 * K - 1);
        T.resize(2 * K - 1);
        lazy.resize(2 * K - 1);
        for (int i = 0; i < M; i++) {
            if (A[i] == 1) {
                S[i + K - 1] = f[i + N];
            }
            T[i + K - 1] = f[i + N];
        }
        for (int i = K - 2; i >= 0; i--) {
            S[i] = add(S[i * 2 + 1], S[i * 2 + 2]);
            T[i] = add(T[i * 2 + 1], T[i * 2 + 2]);
        }
    }
}
int count_ways(int L, int R) {
    if (N <= 1000 && M <= 1000) {
        vector dp(N, vector{1});
        vector<int> on(N + M), off(N + M), tot(N + M, 1);
        for (int i = L; i <= R; i++) {
            A[i - N] ^= 1;
        }
        for (int i = N + M - 1; i >= 0; i--) {
            if (i >= N) {
                on[i] = A[i - N];
                off[i] = tot[i] - on[i];
            } else {
                int sum = 0;
                for (int j = dp[i].size() - 1; j; j--) {
                    sum = add(sum, dp[i][j]);
                    on[i] = add(on[i], sum);
                }
                tot[i] = mul(tot[i], (int)dp[i].size() - 1);
                off[i] = sub(tot[i], on[i]);
            }
            if (i) {
                int K = dp[P[i]].size();
                dp[P[i]].resize(K + 1);
                for (int j = K; j; j--) {
                    dp[P[i]][j] = add(mul(dp[P[i]][j], off[i]), mul(dp[P[i]][j - 1], on[i]));
                }
                dp[P[i]][0] = mul(dp[P[i]][0], off[i]);
                tot[P[i]] = mul(tot[P[i]], tot[i]);
            }
        }
        return on[0];
    }
    update(0, 0, K, L - N, R - N + 1);
    return S[0];
}

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Correct 11 ms 324 KB Output is correct
4 Correct 10 ms 208 KB Output is correct
5 Correct 11 ms 208 KB Output is correct
6 Correct 12 ms 336 KB Output is correct
7 Correct 10 ms 208 KB Output is correct
8 Correct 10 ms 208 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 380 KB Output is correct
4 Correct 1 ms 376 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 404 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 2 ms 356 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Correct 11 ms 324 KB Output is correct
4 Correct 10 ms 208 KB Output is correct
5 Correct 11 ms 208 KB Output is correct
6 Correct 12 ms 336 KB Output is correct
7 Correct 10 ms 208 KB Output is correct
8 Correct 10 ms 208 KB Output is correct
9 Correct 0 ms 208 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 380 KB Output is correct
12 Correct 1 ms 376 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 404 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 2 ms 356 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 ms 336 KB Output is correct
21 Correct 2 ms 336 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 1 ms 336 KB Output is correct
24 Correct 2 ms 408 KB Output is correct
25 Correct 2 ms 336 KB Output is correct
26 Correct 1 ms 336 KB Output is correct
27 Correct 2 ms 336 KB Output is correct
28 Correct 1 ms 336 KB Output is correct
29 Correct 11 ms 208 KB Output is correct
30 Correct 10 ms 208 KB Output is correct
31 Correct 1 ms 336 KB Output is correct
32 Correct 1 ms 336 KB Output is correct
33 Correct 1 ms 336 KB Output is correct
34 Correct 1 ms 336 KB Output is correct
35 Correct 3 ms 208 KB Output is correct
36 Correct 1 ms 336 KB Output is correct
37 Correct 11 ms 336 KB Output is correct
38 Correct 11 ms 336 KB Output is correct
39 Correct 1 ms 336 KB Output is correct
40 Correct 1 ms 336 KB Output is correct
41 Correct 1 ms 336 KB Output is correct
42 Correct 1 ms 308 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 546 ms 5328 KB Output is correct
2 Correct 630 ms 10288 KB Output is correct
3 Correct 755 ms 10284 KB Output is correct
4 Correct 675 ms 10216 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 546 ms 5328 KB Output is correct
2 Correct 630 ms 10288 KB Output is correct
3 Correct 755 ms 10284 KB Output is correct
4 Correct 675 ms 10216 KB Output is correct
5 Correct 641 ms 5328 KB Output is correct
6 Correct 745 ms 10312 KB Output is correct
7 Correct 833 ms 10288 KB Output is correct
8 Correct 652 ms 10300 KB Output is correct
9 Correct 376 ms 592 KB Output is correct
10 Correct 693 ms 900 KB Output is correct
11 Correct 753 ms 904 KB Output is correct
12 Correct 624 ms 904 KB Output is correct

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 380 KB Output is correct
4 Correct 1 ms 376 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 404 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 2 ms 356 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 546 ms 5328 KB Output is correct
14 Correct 630 ms 10288 KB Output is correct
15 Correct 755 ms 10284 KB Output is correct
16 Correct 675 ms 10216 KB Output is correct
17 Correct 641 ms 5328 KB Output is correct
18 Correct 745 ms 10312 KB Output is correct
19 Correct 833 ms 10288 KB Output is correct
20 Correct 652 ms 10300 KB Output is correct
21 Correct 376 ms 592 KB Output is correct
22 Correct 693 ms 900 KB Output is correct
23 Correct 753 ms 904 KB Output is correct
24 Correct 624 ms 904 KB Output is correct
25 Incorrect 679 ms 13736 KB 1st lines differ - on the 1st token, expected: '732332002', found: '401417362'
26 Halted 0 ms 0 KB -

Subtask #7
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Correct 11 ms 324 KB Output is correct
4 Correct 10 ms 208 KB Output is correct
5 Correct 11 ms 208 KB Output is correct
6 Correct 12 ms 336 KB Output is correct
7 Correct 10 ms 208 KB Output is correct
8 Correct 10 ms 208 KB Output is correct
9 Correct 0 ms 208 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 380 KB Output is correct
12 Correct 1 ms 376 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 404 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 2 ms 356 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 ms 336 KB Output is correct
21 Correct 2 ms 336 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 1 ms 336 KB Output is correct
24 Correct 2 ms 408 KB Output is correct
25 Correct 2 ms 336 KB Output is correct
26 Correct 1 ms 336 KB Output is correct
27 Correct 2 ms 336 KB Output is correct
28 Correct 1 ms 336 KB Output is correct
29 Correct 11 ms 208 KB Output is correct
30 Correct 10 ms 208 KB Output is correct
31 Correct 1 ms 336 KB Output is correct
32 Correct 1 ms 336 KB Output is correct
33 Correct 1 ms 336 KB Output is correct
34 Correct 1 ms 336 KB Output is correct
35 Correct 3 ms 208 KB Output is correct
36 Correct 1 ms 336 KB Output is correct
37 Correct 11 ms 336 KB Output is correct
38 Correct 11 ms 336 KB Output is correct
39 Correct 1 ms 336 KB Output is correct
40 Correct 1 ms 336 KB Output is correct
41 Correct 1 ms 336 KB Output is correct
42 Correct 1 ms 308 KB Output is correct
43 Runtime error 2 ms 848 KB Execution killed with signal 11
44 Halted 0 ms 0 KB -

Subtask #8
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Correct 11 ms 324 KB Output is correct
4 Correct 10 ms 208 KB Output is correct
5 Correct 11 ms 208 KB Output is correct
6 Correct 12 ms 336 KB Output is correct
7 Correct 10 ms 208 KB Output is correct
8 Correct 10 ms 208 KB Output is correct
9 Correct 0 ms 208 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 380 KB Output is correct
12 Correct 1 ms 376 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 404 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 2 ms 356 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 ms 336 KB Output is correct
21 Correct 2 ms 336 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 1 ms 336 KB Output is correct
24 Correct 2 ms 408 KB Output is correct
25 Correct 2 ms 336 KB Output is correct
26 Correct 1 ms 336 KB Output is correct
27 Correct 2 ms 336 KB Output is correct
28 Correct 1 ms 336 KB Output is correct
29 Correct 11 ms 208 KB Output is correct
30 Correct 10 ms 208 KB Output is correct
31 Correct 1 ms 336 KB Output is correct
32 Correct 1 ms 336 KB Output is correct
33 Correct 1 ms 336 KB Output is correct
34 Correct 1 ms 336 KB Output is correct
35 Correct 3 ms 208 KB Output is correct
36 Correct 1 ms 336 KB Output is correct
37 Correct 11 ms 336 KB Output is correct
38 Correct 11 ms 336 KB Output is correct
39 Correct 1 ms 336 KB Output is correct
40 Correct 1 ms 336 KB Output is correct
41 Correct 1 ms 336 KB Output is correct
42 Correct 1 ms 308 KB Output is correct
43 Correct 546 ms 5328 KB Output is correct
44 Correct 630 ms 10288 KB Output is correct
45 Correct 755 ms 10284 KB Output is correct
46 Correct 675 ms 10216 KB Output is correct
47 Correct 641 ms 5328 KB Output is correct
48 Correct 745 ms 10312 KB Output is correct
49 Correct 833 ms 10288 KB Output is correct
50 Correct 652 ms 10300 KB Output is correct
51 Correct 376 ms 592 KB Output is correct
52 Correct 693 ms 900 KB Output is correct
53 Correct 753 ms 904 KB Output is correct
54 Correct 624 ms 904 KB Output is correct
55 Incorrect 679 ms 13736 KB 1st lines differ - on the 1st token, expected: '732332002', found: '401417362'
56 Halted 0 ms 0 KB -